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vlada-n [284]
3 years ago
8

19-13p=-17p-5 check solution

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0
19-13p=-17p-5\ \ \ \ |add\ 13p\ to\ each \ side\\\\
19=-17p+13p-5\\\\
19=-4p-5\ \ \ \ |add\ 5\\\\
24=-4p\ \ \ \ |divide\ by\ -4\\\\p=-6\\\\Solution\ is\ p=-6.
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You want the smaller of the two factors of 896 that have the ratio 8:7.

<h3>Setup</h3>

Let x represent the smaller of the two factors (the one we want to find). Then the larger factor is (8/7)x, and their product is ...

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<h3>Solution</h3>

Multiplying by the inverse of the coefficient of x², we have ...

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The smaller of the two numbers is 28.

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<em>Additional comment</em>

The larger is (8/7)(28) = 32.

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